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OpenBLAS

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dtrti2f.f

dtrti2f.f 4.10 KB

SUBROUTINE DTRTI2F( UPLO, DIAG, N, A, LDA, INFO )
*
* -- LAPACK routine (version 3.1) --
* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
* November 2006
*
* .. Scalar Arguments ..
 CHARACTER DIAG, UPLO
 INTEGER INFO, LDA, N
* ..
* .. Array Arguments ..
 DOUBLE PRECISION A( LDA, * )
* ..
*
* Purpose
* =======
*
* DTRTI2 computes the inverse of a real upper or lower triangular
* matrix.
*
* This is the Level 2 BLAS version of the algorithm.
*
* Arguments
* =========
*
* UPLO (input) CHARACTER*1
* Specifies whether the matrix A is upper or lower triangular.
* = 'U': Upper triangular
* = 'L': Lower triangular
*
* DIAG (input) CHARACTER*1
* Specifies whether or not the matrix A is unit triangular.
* = 'N': Non-unit triangular
* = 'U': Unit triangular
*
* N (input) INTEGER
* The order of the matrix A. N >= 0.
*
* A (input/output) DOUBLE PRECISION array, dimension (LDA,N)
* On entry, the triangular matrix A. If UPLO = 'U', the
* leading n by n upper triangular part of the array A contains
* the upper triangular matrix, and the strictly lower
* triangular part of A is not referenced. If UPLO = 'L', the
* leading n by n lower triangular part of the array A contains
* the lower triangular matrix, and the strictly upper
* triangular part of A is not referenced. If DIAG = 'U', the
* diagonal elements of A are also not referenced and are
* assumed to be 1.
*
* On exit, the (triangular) inverse of the original matrix, in
* the same storage format.
*
* LDA (input) INTEGER
* The leading dimension of the array A. LDA >= max(1,N).
*
* INFO (output) INTEGER
* = 0: successful exit
* < 0: if INFO = -k, the k-th argument had an illegal value
*
* =====================================================================
*
* .. Parameters ..
 DOUBLE PRECISION ONE
 PARAMETER ( ONE = 1.0D+0 )
* ..
* .. Local Scalars ..
 LOGICAL NOUNIT, UPPER
 INTEGER J
 DOUBLE PRECISION AJJ
* ..
* .. External Functions ..
 LOGICAL LSAME
 EXTERNAL LSAME
* ..
* .. External Subroutines ..
 EXTERNAL DSCAL, DTRMV, XERBLA
* ..
* .. Intrinsic Functions ..
 INTRINSIC MAX
* ..
* .. Executable Statements ..
*
* Test the input parameters.
*
 INFO = 0
 UPPER = LSAME( UPLO, 'U' )
 NOUNIT = LSAME( DIAG, 'N' )
 IF( .NOT.UPPER .AND. .NOT.LSAME( UPLO, 'L' ) ) THEN
 INFO = -1
 ELSE IF( .NOT.NOUNIT .AND. .NOT.LSAME( DIAG, 'U' ) ) THEN
 INFO = -2
 ELSE IF( N.LT.0 ) THEN
 INFO = -3
 ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
 INFO = -5
 END IF
 IF( INFO.NE.0 ) THEN
 CALL XERBLA( 'DTRTI2', -INFO )
 RETURN
 END IF
*
 IF( UPPER ) THEN
*
* Compute inverse of upper triangular matrix.
*
 DO 10 J = 1, N
 IF( NOUNIT ) THEN
 A( J, J ) = ONE / A( J, J )
 AJJ = -A( J, J )
 ELSE
 AJJ = -ONE
 END IF
*
* Compute elements 1:j-1 of j-th column.
*
 CALL DTRMV( 'Upper', 'No transpose', DIAG, J-1, A, LDA,
 $ A( 1, J ), 1 )
 CALL DSCAL( J-1, AJJ, A( 1, J ), 1 )
 10 CONTINUE
 ELSE
*
* Compute inverse of lower triangular matrix.
*
 DO 20 J = N, 1, -1
 IF( NOUNIT ) THEN
 A( J, J ) = ONE / A( J, J )
 AJJ = -A( J, J )
 ELSE
 AJJ = -ONE
 END IF
 IF( J.LT.N ) THEN
*
* Compute elements j+1:n of j-th column.
*
 CALL DTRMV( 'Lower', 'No transpose', DIAG, N-J,
 $ A( J+1, J+1 ), LDA, A( J+1, J ), 1 )
 CALL DSCAL( N-J, AJJ, A( J+1, J ), 1 )
 END IF
 20 CONTINUE
 END IF
*
 RETURN
*
* End of DTRTI2
*
 END

一键复制编辑原始数据按行查看历史

Zhang Xianyi 提交于 2011年01月24日 22:54 +08:00 . Import GotoBLAS2 1.13 BSD version codes.

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SUBROUTINEDTRTI2F(UPLO,DIAG,N,A,LDA,INFO)
*
*--LAPACKroutine(version3.1)--
*Univ.ofTennessee,Univ.ofCaliforniaBerkeleyandNAGLtd..
*November2006
*
*..ScalarArguments..
CHARACTERDIAG,UPLO
INTEGERINFO,LDA,N
*..
*..ArrayArguments..
DOUBLE PRECISIONA(LDA,*)
*..
*
*Purpose
*=======
*
*DTRTI2computestheinverseofarealupperorlowertriangular
*matrix.
*
*ThisistheLevel2BLASversionofthealgorithm.
*
*Arguments
*=========
*
*UPLO(input)CHARACTER*1
*SpecifieswhetherthematrixAisupperorlowertriangular.
*='U':Uppertriangular
*='L':Lowertriangular
*
*DIAG(input)CHARACTER*1
*SpecifieswhetherornotthematrixAisunittriangular.
*='N':Non-unittriangular
*='U':Unittriangular
*
*N(input)INTEGER
*TheorderofthematrixA.N>=0.
*
*A(input/output)DOUBLE PRECISIONarray,dimension(LDA,N)
*Onentry,thetriangularmatrixA.IfUPLO='U',the
*leadingnbynuppertriangularpartofthearrayAcontains
*theuppertriangularmatrix,andthestrictlylower
*triangularpartofAisnotreferenced.IfUPLO='L',the
*leadingnbynlowertriangularpartofthearrayAcontains
*thelowertriangularmatrix,andthestrictlyupper
*triangularpartofAisnotreferenced.IfDIAG='U',the
*diagonalelementsofAarealsonotreferencedandare
*assumedtobe1.
*
*Onexit,the(triangular)inverseoftheoriginalmatrix,in
*thesamestorageformat.
*
*LDA(input)INTEGER
*TheleadingdimensionofthearrayA.LDA>=max(1,N).
*
*INFO(output)INTEGER
*=0:successfulexit
*<0:ifINFO=-k,thek-thargumenthadanillegalvalue
*
*=====================================================================
*
*..Parameters..
DOUBLE PRECISIONONE
PARAMETER(ONE=1.0D+0)
*..
*..LocalScalars..
LOGICALNOUNIT,UPPER
INTEGERJ
DOUBLE PRECISIONAJJ
*..
*..ExternalFunctions..
LOGICALLSAME
EXTERNALLSAME
*..
*..ExternalSubroutines..
EXTERNALDSCAL,DTRMV,XERBLA
*..
*..IntrinsicFunctions..
INTRINSICMAX
*..
*..ExecutableStatements..
*
*Testtheinputparameters.
*
INFO=0
UPPER=LSAME(UPLO,'U')
NOUNIT=LSAME(DIAG,'N')
IF(.NOT.UPPER.AND..NOT.LSAME(UPLO,'L'))THEN
INFO=-1
ELSEIF(.NOT.NOUNIT.AND..NOT.LSAME(DIAG,'U'))THEN
INFO=-2
ELSEIF(N.LT.0)THEN
INFO=-3
ELSEIF(LDA.LT.MAX(1,N))THEN
INFO=-5
ENDIF
IF(INFO.NE.0)THEN
CALLXERBLA('DTRTI2',-INFO)
RETURN
ENDIF
*
IF(UPPER)THEN
*
*Computeinverseofuppertriangularmatrix.
*
DO10J=1,N
IF(NOUNIT)THEN
A(J,J)=ONE/A(J,J)
AJJ=-A(J,J)
ELSE
AJJ=-ONE
ENDIF
*
*Computeelements1:j-1ofj-thcolumn.
*
CALLDTRMV('Upper','No transpose',DIAG,J-1,A,LDA,
$A(1,J),1)
CALLDSCAL(J-1,AJJ,A(1,J),1)
10CONTINUE
ELSE
*
*Computeinverseoflowertriangularmatrix.
*
DO20J=N,1,-1
IF(NOUNIT)THEN
A(J,J)=ONE/A(J,J)
AJJ=-A(J,J)
ELSE
AJJ=-ONE
ENDIF
IF(J.LT.N)THEN
*
*Computeelementsj+1:nofj-thcolumn.
*
CALLDTRMV('Lower','No transpose',DIAG,N-J,
$A(J+1,J+1),LDA,A(J+1,J),1)
CALLDSCAL(N-J,AJJ,A(J+1,J),1)
ENDIF
20CONTINUE
ENDIF
*
RETURN
*
*EndofDTRTI2
*
END